Towards a Generalized Hydrodynamics description of R\'enyi entropies in integrable systems

Understand

We investigate the steady-state R\'enyi entanglement entropies after a quench from a piecewise homogeneous initial state in integrable models.

• In the quench protocol two macroscopically different chains (leads) are joined together at the initial time, and the subsequent dynamics is studied.
• We study the entropies of a finite subsystem at the interface between the two leads.
• The density of R\'enyi entropies coincides with that of the entropies of the Generalized Gibbs Ensemble (GGE) that describes the interface between the chains.